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On line Solution of Monovariate Equation:
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    Current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation 2.4*(1+a%)*400+500*(1+2a%)*2.4*(1+a%) = 21600*(1+9/20*a%) .
    Question type: Equation
    Solution:Original question:
     
12
5
(1 + a ) × 400 + 500(1 + 2 a ) ×
12
5
(1 + a ) = 21600(1 + 9 ÷ 20 × a )
     Left side of the equation = 960(1 + a ) + 1200(1 + 2 a )(1 + a )
    The equation is transformed into :
     960(1 + a ) + 1200(1 + 2 a )(1 + a ) = 21600(1 + 9 ÷ 20 × a )
    Remove the bracket on the left of the equation:
     Left side of the equation = 960 × 1 + 960 a + 1200(1 + 2 a )(1 + a )
                                             = 960 + 960 a + 1200(1 + 2 a )(1 + a )
                                             = 960 + 960 a + 1200 × 1(1 + a ) + 1200 × 2 a (1 + a )
                                             = 960 + 960 a + 1200(1 + a ) + 2400 a (1 + a )
                                             = 960 + 960 a + 1200 × 1 + 1200 a + 2400 a (1 + a )
                                             = 960 + 960 a + 1200 + 1200 a + 2400 a (1 + a )
                                             = 2160 + 2160 a + 2400 a (1 + a )
                                             = 2160 + 2160 a + 2400 a × 1 + 2400 a a
                                             = 2160 + 2160 a + 2400 a + 2400 a a
                                             = 2160 + 4560 a + 2400 a a
    The equation is transformed into :
     2160 + 4560 a + 2400 a a = 21600(1 + 9 ÷ 20 × a )
    Remove the bracket on the right of the equation:
     Right side of the equation = 21600 × 1 + 21600 × 9 ÷ 20 × a
                                               = 21600 + 9720 a
    The equation is transformed into :
     2160 + 4560 a + 2400 a a = 21600 + 9720 a

    
        a≈-196.730587 , keep 6 decimal places
    
    There are 1 solution(s).


解一元一次方程的详细方法请参阅:《一元一次方程的解法》



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